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Simplifying -3731 = 13(19k + -2) Reorder the terms: -3731 = 13(-2 + 19k) -3731 = (-2 * 13 + 19k * 13) -3731 = (-26 + 247k) Solving -3731 = -26 + 247k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-247k' to each side of the equation. -3731 + -247k = -26 + 247k + -247k Combine like terms: 247k + -247k = 0 -3731 + -247k = -26 + 0 -3731 + -247k = -26 Add '3731' to each side of the equation. -3731 + 3731 + -247k = -26 + 3731 Combine like terms: -3731 + 3731 = 0 0 + -247k = -26 + 3731 -247k = -26 + 3731 Combine like terms: -26 + 3731 = 3705 -247k = 3705 Divide each side by '-247'. k = -15 Simplifying k = -15
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